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<div class="title">vector_functions.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -------------------------------------------------------------------------*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">*                               SPHinXsys                                   *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">* --------------------------------------------------------------------------*</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">* SPHinXsys (pronunciation: s&#39;finksis) is an acronym from Smoothed Particle *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">* Hydrodynamics for industrial compleX systems. It provides C++ APIs for    *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">* physical accurate simulation and aims to model coupled industrial dynamic *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">* systems including fluid, solid, multi-body dynamics and beyond with SPH   *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">* (smoothed particle hydrodynamics), a meshless computational method using  *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">* particle discretization.                                                  *</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">* SPHinXsys is partially funded by German Research Foundation               *</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">* (Deutsche Forschungsgemeinschaft) DFG HU1527/6-1, HU1527/10-1             *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">* and HU1527/12-1.                                                          *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">* Portions copyright (c) 2017-2020 Technical University of Munich and       *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">* the authors&#39; affiliations.                                                *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">* Licensed under the Apache License, Version 2.0 (the &quot;License&quot;); you may   *</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">* not use this file except in compliance with the License. You may obtain a *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">* copy of the License at http://www.apache.org/licenses/LICENSE-2.0.        *</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">*                                                                           *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">* --------------------------------------------------------------------------*/</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#ifndef SMALL_VECTORS_H</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#define SMALL_VECTORS_H</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &quot;data_type.h&quot;</span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a> {</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    Vec2d FirstAxisVector(<span class="keyword">const</span> Vec2d&amp; zero_vector);</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    Vec3d FirstAxisVector(<span class="keyword">const</span> Vec3d&amp; zero_vector);</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <a class="code" href="class_real.html">Real</a> getMaxAbsoluteElement(<span class="keyword">const</span> Vec2d&amp; input);</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <a class="code" href="class_real.html">Real</a> getMaxAbsoluteElement(<span class="keyword">const</span> Vec3d&amp; input);</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <a class="code" href="class_real.html">Real</a> getMinAbsoluteElement(<span class="keyword">const</span> Vec2d&amp; input);</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <a class="code" href="class_real.html">Real</a> getMinAbsoluteElement(<span class="keyword">const</span> Vec3d&amp; input);</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    Vec3d upgradeToVector3D(<span class="keyword">const</span> <a class="code" href="class_real.html">Real</a>&amp; input);</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    Vec3d upgradeToVector3D(<span class="keyword">const</span> Vec2d&amp; input);</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    Vec3d upgradeToVector3D(<span class="keyword">const</span> Vec3d&amp; input);</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    Mat3d upgradeToMatrix3D(<span class="keyword">const</span> Mat2d&amp; input);</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    Mat3d upgradeToMatrix3D(<span class="keyword">const</span> Mat3d&amp; input);</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OutVectorType&gt;</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    OutVectorType upgradeVector(<span class="keyword">const</span> <a class="code" href="class_real.html">Real</a>&amp; input)</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    {</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        OutVectorType out_vector(0);</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        out_vector[0] = input;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">return</span> out_vector;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    };</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OutVectorType&gt;</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    OutVectorType upgradeVector(<span class="keyword">const</span> Vec2d&amp; input)</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    {</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        OutVectorType out_vector(0);</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        out_vector[0] = input[0];</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        out_vector[1] = input[1];</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">return</span> out_vector;</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    };</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OutVectorType&gt;</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    OutVectorType upgradeVector(<span class="keyword">const</span> Vec3d&amp; input)</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    {</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        OutVectorType out_vector(0);</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        out_vector[0] = input[0];</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        out_vector[1] = input[1];</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        out_vector[2] = input[2];</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordflow">return</span> out_vector;</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    };</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    Mat2d getInverse(<span class="keyword">const</span> Mat2d&amp; A);</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    Mat3d getInverse(<span class="keyword">const</span> Mat3d&amp; A);</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    Mat2d getAverageValue(<span class="keyword">const</span> Mat2d &amp;A, <span class="keyword">const</span> Mat2d&amp; B);</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    Mat3d getAverageValue(<span class="keyword">const</span> Mat3d &amp;A, <span class="keyword">const</span> Mat3d&amp; B);</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    Mat2d <a class="code" href="namespace_s_p_h.html#a8398545c27193350527fd37c5ce8a346">inverseCholeskyDecomposition</a>(<span class="keyword">const</span> Mat2d&amp; A);</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    Mat3d <a class="code" href="namespace_s_p_h.html#a8398545c27193350527fd37c5ce8a346">inverseCholeskyDecomposition</a>(<span class="keyword">const</span> Mat3d&amp; A);</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    Mat2d getDiagonal(<span class="keyword">const</span> Mat2d&amp; A);</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    Mat3d getDiagonal(<span class="keyword">const</span> Mat3d&amp; A);</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#ad528837a1fb93b7114c349632c8889a4">CalculateDoubleDotProduct</a>(Mat2d Matrix1, Mat2d Matrix2 ); <span class="comment">//calculate double dot</span></div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#ad528837a1fb93b7114c349632c8889a4">CalculateDoubleDotProduct</a>(Mat3d Matrix1, Mat3d Matrix2 ); <span class="comment">//calculate double dot</span></div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    Mat2d <a class="code" href="namespace_s_p_h.html#aa9177d13d8704721ba24c306574c3d5b">getTransformationMatrix</a>(<span class="keyword">const</span> Vec2d&amp; direction_of_y);</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    Mat3d <a class="code" href="namespace_s_p_h.html#aa9177d13d8704721ba24c306574c3d5b">getTransformationMatrix</a>(<span class="keyword">const</span> Vec3d&amp; direction_of_z);</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#a68058077020fd2d3c14303a89d342726">getCosineOfAngleBetweenTwoVectors</a> (<span class="keyword">const</span> Vec2d &amp;vector_1, <span class="keyword">const</span> Vec2d &amp;vector_2);</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#a68058077020fd2d3c14303a89d342726">getCosineOfAngleBetweenTwoVectors</a> (<span class="keyword">const</span> Vec3d &amp;vector_1, <span class="keyword">const</span> Vec3d &amp;vector_2);</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    Vec2d <a class="code" href="namespace_s_p_h.html#a229652ff9b21233afcccf41f920cccb7">getVectorProjectionOfVector</a> (<span class="keyword">const</span> Vec2d&amp; vector_1, <span class="keyword">const</span> Vec2d&amp; vector_2);</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    Vec3d <a class="code" href="namespace_s_p_h.html#a229652ff9b21233afcccf41f920cccb7">getVectorProjectionOfVector</a> (<span class="keyword">const</span> Vec3d&amp; vector_1, <span class="keyword">const</span> Vec3d&amp; vector_2);</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#aaefe19205a6a860024664f2dc717aa90">getVonMisesStressFromMatrix</a>(<span class="keyword">const</span> Mat2d&amp; sigma);</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#aaefe19205a6a860024664f2dc717aa90">getVonMisesStressFromMatrix</a>(<span class="keyword">const</span> Mat3d&amp; sigma);</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    Vec2d <a class="code" href="namespace_s_p_h.html#af55e3affa929cbeed82e44201ef46215">getPrincipalValuesFromMatrix</a>(<span class="keyword">const</span> Mat2d&amp; A);</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    Vec3d <a class="code" href="namespace_s_p_h.html#af55e3affa929cbeed82e44201ef46215">getPrincipalValuesFromMatrix</a>(<span class="keyword">const</span> Mat3d&amp; A);</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    <a class="code" href="class_real.html">Real</a> <a class="code" href="namespace_s_p_h.html#a213e7142a311395e51d5d52398334de7">MinimumDimension</a>(<span class="keyword">const</span> BoundingBox &amp;bbox);</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;}</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#endif //SMALL_VECTORS_H</span></div><div class="ttc" id="namespace_s_p_h_html_a229652ff9b21233afcccf41f920cccb7"><div class="ttname"><a href="namespace_s_p_h.html#a229652ff9b21233afcccf41f920cccb7">SPH::getVectorProjectionOfVector</a></div><div class="ttdeci">Vec2d getVectorProjectionOfVector(const Vec2d &amp;vector_1, const Vec2d &amp;vector_2)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:297</div></div>
<div class="ttc" id="namespace_s_p_h_html_a68058077020fd2d3c14303a89d342726"><div class="ttname"><a href="namespace_s_p_h.html#a68058077020fd2d3c14303a89d342726">SPH::getCosineOfAngleBetweenTwoVectors</a></div><div class="ttdeci">Real getCosineOfAngleBetweenTwoVectors(const Vec2d &amp;vector_1, const Vec2d &amp;vector_2)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:271</div></div>
<div class="ttc" id="class_real_html"><div class="ttname"><a href="class_real.html">Real</a></div></div>
<div class="ttc" id="namespace_s_p_h_html_a8398545c27193350527fd37c5ce8a346"><div class="ttname"><a href="namespace_s_p_h.html#a8398545c27193350527fd37c5ce8a346">SPH::inverseCholeskyDecomposition</a></div><div class="ttdeci">Mat2d inverseCholeskyDecomposition(const Mat2d &amp;A)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:143</div></div>
<div class="ttc" id="namespace_s_p_h_html_a213e7142a311395e51d5d52398334de7"><div class="ttname"><a href="namespace_s_p_h.html#a213e7142a311395e51d5d52398334de7">SPH::MinimumDimension</a></div><div class="ttdeci">Real MinimumDimension(const BoundingBox &amp;bbox)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:400</div></div>
<div class="ttc" id="namespace_s_p_h_html_af55e3affa929cbeed82e44201ef46215"><div class="ttname"><a href="namespace_s_p_h.html#af55e3affa929cbeed82e44201ef46215">SPH::getPrincipalValuesFromMatrix</a></div><div class="ttdeci">Vec2d getPrincipalValuesFromMatrix(const Mat2d &amp;A)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:353</div></div>
<div class="ttc" id="namespace_s_p_h_html_aa9177d13d8704721ba24c306574c3d5b"><div class="ttname"><a href="namespace_s_p_h.html#aa9177d13d8704721ba24c306574c3d5b">SPH::getTransformationMatrix</a></div><div class="ttdeci">Mat2d getTransformationMatrix(const Vec2d &amp;direction_of_y)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:199</div></div>
<div class="ttc" id="namespace_s_p_h_html_ad528837a1fb93b7114c349632c8889a4"><div class="ttname"><a href="namespace_s_p_h.html#ad528837a1fb93b7114c349632c8889a4">SPH::CalculateDoubleDotProduct</a></div><div class="ttdeci">Real CalculateDoubleDotProduct(Mat2d Matrix1, Mat2d Matrix2)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:246</div></div>
<div class="ttc" id="namespace_s_p_h_html_aaefe19205a6a860024664f2dc717aa90"><div class="ttname"><a href="namespace_s_p_h.html#aaefe19205a6a860024664f2dc717aa90">SPH::getVonMisesStressFromMatrix</a></div><div class="ttdeci">Real getVonMisesStressFromMatrix(const Mat2d &amp;sigma)</div><div class="ttdef"><b>Definition:</b> vector_functions.cpp:329</div></div>
<div class="ttc" id="namespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> solid_body_supplementary.cpp:9</div></div>
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